Existence of one weak solution for $p(x)$-biharmonic equations involving a concave-convex nonlinearity

Authors

  • R.A. Mashiyev Faculty of Education, Bayburt University, Turkey Author
  • G. Alisoy Faculty of Science and Arts, Namik Kemal University, Turkey Author
  • I. Ekincioglu Faculty of Sciences and Arts, Dumlupinar University, Turkey Author

Keywords:

Critical points, $p(x)$-biharmonic operator, Navier boundary conditions, concave-convex nonlinearities, Mountain Pass Theorem,

Subjects:

35J60, 35J48

Abstract

In the present paper, using variational approach and thetheory of the variable exponent Lebesgue spaces, the existence of nontrivialweak solutions to a fourth order elliptic equation involving a$p(x)$-biharmonic operatorand a concave-convex nonlinearity the Navier boundaryconditions is obtained.

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Published

2017-10-15

Issue

Vol. 69 No. 4 (2017): Vol. 69, Issue 4

Section

Articles

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Copyright (c) 2017 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.